4507691328 has 336 divisors, whose sum is σ = 16087344000. Its totient is φ = 1177473024.

The previous prime is 4507691327. The next prime is 4507691351. The reversal of 4507691328 is 8231967054.

4507691328 is a `hidden beast` number, since 4 + 507 + 6 + 9 + 132 + 8 = 666.

4507691328 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4507691328² = 40638562217052807168, which contains 22 as substring.

4507691328 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507691323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220618 + ... + 2222646.

It is an arithmetic number, because the mean of its divisors is an integer number (47879000).

It is a 1-persistent number, because it is pandigital, but 2⋅4507691328 = 9015382656 is not.

Almost surely, 2^4507691328 is an apocalyptic number.

4507691328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4507691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043672000).

4507691328 is an abundant number, since it is smaller than the sum of its proper divisors (11579652672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4507691328 is a wasteful number, since it uses less digits than its factorization.

4507691328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4507691328 is about 67139.3426241276. The cubic root of 4507691328 is about 1651.9036892731.

The spelling of 4507691328 in words is "four billion, five hundred seven million, six hundred ninety-one thousand, three hundred twenty-eight".